To find the slope \( m \) of the trend line that passes through the points \( (x_1, y_1) = (5, 80) \) and \( (x_2, y_2) = (7, 65) \), we use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting the values of the points:
\[ m = \frac{65 - 80}{7 - 5} \]
Calculating the differences:
\[ m = \frac{-15}{2} \]
Thus, the slope of the trend line is:
\[ \boxed{-\frac{15}{2}} \]